Perturbations of Drazin invertible operators

Abstract

The necessary and sufficient conditions for the small norm perturbation of a Drazin invertible operator to be still Drazin invertible and the sufficient conditions for the finite rank perturbation of a Drazin invertible operator to be still Drazin invertible are established.

Keywords

Drazin inverse / small norm perturbation / finite rank perturbation

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